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- Leszek Gasinski
- J. Global Optimization
- 2007

- Leszek Gasinski
- J. Global Optimization
- 1998

In this paper we study nonlinear second-order differential inclusions involving the ordinary vector p-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems,… (More)

- Leszek Gasiński
- 2001

In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is shown.

- Michael Filippakis, Leszek Gasinski, Nikolaos S. Papageorgiou
- J. Global Optimization
- 2005

The session will focus on the recent developments in the theory of nonlinear evolution equations, optimal control theory and related topics including real life problems of mechanics, biology, economics, and medicine. The main topics of the session include, but are not limited to, analysis of solutions of evolution problems and partial differential… (More)

We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator, which includes as a particular case the scalar p-Laplacian. We assume that the reaction is a Carathéodory function which admits time-dependent zeros of constant sign. No growth control near ±∞ is imposed on the reaction. Using variational methods coupled with suitable… (More)

A semilinear elliptic equation with strong resonance at infinity and with a nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and extend results in the literature, two results on existence are obtained.

- Zdzislaw Denkowski, Leszek Gasinski, Nikolaos S. Papageorgiou
- J. Global Optimization
- 2006

and Applied Analysis 3 2. Mathematical Background and Hypotheses Let X be a Banach space, and let X∗ be its topological dual. By 〈·, ·〉 we denote the duality brackets for the pair X∗, X . Let φ ∈ C1 X . We say that φ satisfies the Cerami condition if the following is true: “every sequence {xn}n≥1 ⊆ X, such that {φ xn }n≥1 is bounded and 1 ‖xn‖ φ′ xn −→ 0 in… (More)